Using a sum or difference identity, write the following as an expression involving functions of x.
-$$\sqrt { \frac { 1 - \cos 66 ^ { \circ } } { 2 } }$$
A) $\tan 33 ^ { \circ }$
B) $\sin 33 ^ { \circ }$
C) $\cot 33 ^ { \circ }$
D) $\cos 33 ^ { \circ }$

Question

Quizplus · Accepted Answer

The given expression can be simplified using the half-angle identity for sine, which is $\sin \frac{\theta}{2} = \sqrt{\frac{1 - \cos \theta}{2}}$. Here, $\theta = 66^\circ$, so the expression simplifies to $\sin 33^\circ$.

Using a Sum or Difference Identity, Write the Following as an Expression